A building in san fransico is shaped like a square pyramid. It has a slant height of 856.1 feet and each side of its base is 145 feet long. Find the lateral area of the building.
Mathematics · College · Tue Nov 03 2020
Answered on
Given:
Height = 856.1 feet
Side length = 145 feet
Determine the lateral area of the building.
Formula for lateral area:
LSA = ½ pl
p = perimeter
l = slant height
Formula for perimeter
p = 3 (side length)
Solution
Solve first the perimeter before solving for the lateral surface area.
p = 3 (145 feet)
p = 435 feet
Now we can solve for the lateral surface area, by substituting the values of the perimeter and the slant height to the formula for the lateral surface area.
LSA = ½ (435 feet)(856.1feet)
LSA = 186.201.75 ft^2
Final answer:
LSA = 186.201.75 ft^2